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219935344649972 = 227210632993053
BaseRepresentation
bin110010000000011110110000…
…000101110110011011110100
31001211201121120022122110210112
4302000132300011312123310
5212311410041212244342
62055432522535042152
764216542604046600
oct6200366005663364
91054647508573715
10219935344649972
1164095068396a06
1220800b39b10358
139594a774b8b43
143c44cdb004500
151a66052b49682
hexc807b01766f4

219935344649972 has 54 divisors (see below), whose sum is σ = 448147561068018. Its totient is φ = 94169238333408.

The previous prime is 219935344649903. The next prime is 219935344649981. The reversal of 219935344649972 is 279946443539912.

It can be written as a sum of positive squares in only one way, i.e., 157017039054736 + 62918305595236 = 12530644^2 + 7932106^2 .

It is a junction number, because it is equal to n+sod(n) for n = 219935344649893 and 219935344649902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220977398 + ... + 221970450.

It is an arithmetic number, because the mean of its divisors is an integer number (8299028908667).

Almost surely, 2219935344649972 is an apocalyptic number.

It is an amenable number.

219935344649972 is an abundant number, since it is smaller than the sum of its proper divisors (228212216418046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

219935344649972 is an equidigital number, since it uses as much as digits as its factorization.

219935344649972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995197 (or 994125 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 77.

The spelling of 219935344649972 in words is "two hundred nineteen trillion, nine hundred thirty-five billion, three hundred forty-four million, six hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 49 98 196 1063 2126 4252 7441 14882 29764 52087 104174 208348 993053 1129969 1986106 2259938 3972212 4519876 6951371 7909783 13902742 15819566 27805484 31639132 48659597 55368481 97319194 110736962 194638388 221473924 1055615339 2111230678 4222461356 7389307373 14778614746 29557229492 51725151611 103450303222 206900606444 1122119105357 2244238210714 4488476421428 7854833737499 15709667474998 31419334949996 54983836162493 109967672324986 219935344649972